Details

sample420.0ms

Algorithm

intervals

Results

91.0ms	30×	body	2560	valid
41.0ms	57×	body	1280	valid
11.0ms	132×	body	80	valid
9.0ms	27×	body	640	valid
4.0ms	17×	body	320	valid
1.0ms	8×	body	160	valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	7
1	41	7
2	82	7
3	122	7
4	147	7
5	157	7
6	159	7
7	159	7

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.5b	(/ 1.0 (* F F))
3.9b	(* (/ 1.0 (* F F)) (tan (* PI l)))
32.0b	(tan (* PI l))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
8×	`pow1`
7×	`times-frac`
6×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot` `associate-/l*` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `div-inv`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/r*`

Counts

4 → 85

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(/ 1.0 (* F F))
15.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
4.0ms	(tan (* PI l))

series251.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
136.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
71.0ms	(tan (* PI l))

simplify44.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	334	468
1	1442	399
2	5001	398

prune240.0ms

Filtered

97 candidates to 69 candidates (71.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
32.0b	(tan (* PI l))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`associate-l`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `sqrt-prod`
9×	`associate-r`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `div-inv`

Counts

4 → 96

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(* PI l)
15.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series261.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
19.0ms	(* PI l)
160.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
61.0ms	(tan (* PI l))

simplify99.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	305	522
1	1082	478
2	4101	476
3	5001	475

prune320.0ms

Filtered

108 candidates to 78 candidates (72.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 12.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (sqrt 1.0) (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
32.0b	(tan (* PI l))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`tan-quot` `cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `clear-num` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 74

Calls

4 calls:

7.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
3.0ms	(* PI l)
3.0ms	(* PI l)
2.0ms	(tan (* PI l))

series271.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
19.0ms	(* PI l)
19.0ms	(* PI l)
65.0ms	(tan (* PI l))

simplify33.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	267	362
1	1104	322
2	5001	320

prune269.0ms

Filtered

86 candidates to 62 candidates (72.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 12.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt F)
0.6b	(cbrt F)
0.6b	(cbrt F)
32.0b	(tan (* PI l))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`tan-quot`

Counts

4 → 49

Calls

4 calls:

0.0ms	(cbrt F)
0.0ms	(cbrt F)
1.0ms	(cbrt F)
2.0ms	(tan (* PI l))

series602.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt F)
176.0ms	(cbrt F)
176.0ms	(cbrt F)
66.0ms	(tan (* PI l))

simplify117.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	103	188
1	246	174
2	836	168
3	3741	168
4	5001	168

prune240.0ms

Filtered

61 candidates to 53 candidates (86.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 12.1b

regimes366.0ms

Accuracy

0% (0.4b remaining)

Error of 12.5b against oracle of 12.1b and baseline of 12.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	19
1	21	19

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.4s	787×	body	2560	valid
1.2s	1718×	body	1280	valid
344.0ms	939×	body	640	valid
321.0ms	4542×	body	80	valid
255.0ms	11×	body	10240	exit
91.0ms	393×	body	320	valid
37.0ms	230×	body	160	valid